{
  "id": "1507.04842",
  "version": "v1",
  "published": "2015-07-17T06:11:51.000Z",
  "updated": "2015-07-17T06:11:51.000Z",
  "title": "Tunneling as a Source for Quantum Chaos",
  "authors": [
    "Ofir Flom",
    "Asher Yahalom",
    "Haggai Zilberberg",
    "L. P. Horwitz",
    "Jacob Levitan"
  ],
  "comment": "14 pages, 8 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the spatial entropy function defined by S = -\\int |\\Psi(x,t)|^2 ln |\\Psi(x,t)|^2 dx. There is no classical counterpart to tunneling, but a decrease in the tunneling in a short time interval may be interpreted as an approach of a quantum system to a classical system. We show that changing the square barrier by increasing the height/width do not only decrease the tunneling but also slows down the rapid rise of the entropy function, indicating that the entropy growth is an essentially quantum effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-17T06:11:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum chaos",
      "square barrier",
      "spatial entropy function",
      "short time interval",
      "wave function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}